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Finding the Fourth Proportional to 3,730.60, 5,585.10 and 3,622.60

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Solution

The fourth proportional to 3,730.60, 5,585.10 and 3,622.60 is: 5,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.60 : 5,585.10 = 3,622.60 : x
  2. Step 2: Convert to fraction form
    3,730.60/5,585.10 = 3,622.60/x
  3. Step 3: Cross multiply
    3,730.60x = 5,585.10 × 3,622.60
  4. Step 4: Simplify right side
    3,730.60x = 20,232,583.26
  5. Step 5: Solve for x
    x = 20,232,583.26/3,730.60
  6. Step 6: Final answer
    x = 5,423.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.